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Finding the Fourth Proportional to 57,954.84, 86,776.52 and 36,780.24

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Solution

The fourth proportional to 57,954.84, 86,776.52 and 36,780.24 is: 55,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954.84 : 86,776.52 = 36,780.24 : x
  2. Step 2: Convert to fraction form
    57,954.84/86,776.52 = 36,780.24/x
  3. Step 3: Cross multiply
    57,954.84x = 86,776.52 × 36,780.24
  4. Step 4: Simplify right side
    57,954.84x = 3,191,661,231.96
  5. Step 5: Solve for x
    x = 3,191,661,231.96/57,954.84
  6. Step 6: Final answer
    x = 55,071.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.